Your point of WEBP images generally being small(er) is false. This is only true for low quality images or low quality settings (which, given WEBP, invariably lead to the former). The misconception mostly stems from the fact that cwebp operates on a
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than (moz)jpeg. In reality, the size difference between these encoders comes down to scene composition. You can easily check this yourself by having something like
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convert a set of high quality content into both formats.